Information on Result #1088132
Linear OOA(2252, 87, F2, 4, 98) (dual of [(87, 4), 96, 99]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(1634, 29, F16, 2, 32) (dual of [(29, 2), 24, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1634, 33, F16, 2, 32) (dual of [(33, 2), 32, 33]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,33P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- discarding factors / shortening the dual code based on linear OOA(1634, 33, F16, 2, 32) (dual of [(33, 2), 32, 33]-NRT-code), using
- linear OOA(22, 3, F2, 2, 2) (dual of [(3, 2), 4, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;4,2) [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2253, 87, F2, 4, 98) (dual of [(87, 4), 95, 99]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2254, 87, F2, 4, 98) (dual of [(87, 4), 94, 99]-NRT-code) | [i] | ||
| 3 | Linear OOA(2255, 87, F2, 4, 98) (dual of [(87, 4), 93, 99]-NRT-code) | [i] | ||
| 4 | Linear OOA(2251, 86, F2, 4, 97) (dual of [(86, 4), 93, 98]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(2250, 86, F2, 4, 96) (dual of [(86, 4), 94, 97]-NRT-code) | [i] | ||
| 6 | Linear OOA(2252, 43, F2, 7, 98) (dual of [(43, 7), 49, 99]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(2252, 43, F2, 8, 98) (dual of [(43, 8), 92, 99]-NRT-code) | [i] | ||